ece 311: electric and magnetic fields coordinate systems/uploads/02... · ece 311: electric and...

ECE 311: Electric and Magnetic FieldsCoordinate Systems

Professor Peter BermelElectrical and Computer Engineering

Purdue University, West Lafayette, IN USApbermel@purdue.edu

1/9/2019

Cartesian coordinate system

1/9/2019 Bermel ECE 311 - Spring 2019 2

Cylindrical coordinate system

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Examples:• Coaxial cable• Fiber optic line

Range of values different than in Cartesian coordinates

Spherical coordinate system

1/9/2019 Bermel ECE 311 - Spring 2019 4

Examples:• Earth• Raindrops

Range of values different than in Cartesian or cylindrical coordinates

Spherical coordinate system

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Vector algebra: applies equally well as in Cartesian coordinatesExamples: subtraction, dot product, cross product

Point transformation (Cartesian-

cylindrical-spherical)

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Vector transformation (Cartesian-

cylindrical-spherical)

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